Here are some notes on the theory of polynomials and on various forms (polynomial, rational, irrational, eq. with absolute values) of equations.
You should test your understanding trying to workout the problems and exercises either here or there !

those of you (parents or students) who are wondering what is the expected prerequisite level, for some student aiming to start an A-level or an IB HL-SL course, should take a look at the following: Background material

A very nice and interesting paper, with an appendix focusing on the historical development of the topic.
Unfortunately the text is in Greek only ;) --> Το τελευταίο θεώρημα του Fermat
(From: University of Athens, School of Mathematics)

I would like to welcome everybody on my new blog.
The primary purpose of this blog will be to post various material related to the curriculum of A-level mathematics, IB Math HL, SL and Further Math, and mathematics for grades K11-K12 or equivalent. We will post classnotes, material for deepening into the theory (notes, remarks, various proofs of propositions and theorems which are unlikely to be found on standard textbooks), solved exercises of escalating difficulty (in order to cover even the needs of the most demanding students), tests, collections of questions and exercises for practise, projects , etc.
It is hoped that the material will be of interest to the demanding students and to instructors/teachers/ tutors offering classes at that level.

$2d$ and $3d$ Coordinate and geometry and Vector geometry (straight line equation in $2d$ and $3d$, equation of a plane, relative positions between two lines, two planes, a line and a plane, distance between a point and a line or a plane, Conics: circle, ellipse, parabola, hyperbola, coordinate, parametric, vector equations),

Series expansions (Taylor, McLauren, ratio of convergence, criteria of convergence),

Differential Equations,

Arithmetic methods and approximations,

(axiomatic) Euclidean Geometry,

Mathematical Logic, .... etc

There will also frequently appear posts related to the syllabus of the Greek Panhellenic Exams
(corresponding to the three classes A' ,B' ,C' of the Greek Lyceum).
These will often appear in greek (however, I will try to provide english
translations for the most interesting of these).
Finally, anything (ranging from Pure to Applied Mathematics) with sufficient interest for mathematically-oriented students/teachers/researchers may appear from time to time (under suitable headings).
You are welcome to send me questions, problems, ideas etc related to the above material or with mathematics in general! I will try my best to respond to possible questions -as soon as possible- and to adopt best practise ideas in order to help anybody taking or giving such courses and to anyone inerested in mathematics generally.